Receiver Function Forward Modeling and Migration Based on the Wave-Equation Finite Difference Method

2005 ◽  
Vol 48 (2) ◽  
pp. 458-466 ◽  
Author(s):  
Hong-Luo WANG ◽  
Xu CHANG ◽  
Chuan-Ren CHEN
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Receiver Function ◽  
Forward Modeling ◽  
And Migration

MIGRATION BY FOURIER TRANSFORM

Geophysics ◽  
1978 ◽  
Vol 43 (1) ◽  
pp. 23-48 ◽  
Author(s):  
R. H. Stolt
Keyword(s):  
Fourier Transform ◽  
Wave Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Three Dimensional ◽  
Frequency Dispersion ◽  
Scalar Wave ◽  
Conjugate Space ◽  
And Migration

Wave equation migration is known to be simpler in principle when the horizontal coordinate or coordinates are replaced by their Fourier conjugates. Two practical migration schemes utilizing this concept are developed in this paper. One scheme extends the Claerbout finite difference method, greatly reducing dispersion problems usually associated with this method at higher dips and frequencies. The second scheme effects a Fourier transform in both space and time; by using the full scalar wave equation in the conjugate space, the method eliminates (up to the aliasing frequency) dispersion altogether. The second method in particular appears adaptable to three‐dimensional migration and migration before stack.

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